Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything)
Sostenes Lins
This text provides a guide to dealing with 3-manifolds by computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants.
Kategoriler:
Yıl:
1995
Yayımcı:
World Scientific Publishing Company
Dil:
english
Sayfalar:
468
ISBN 10:
9810219075
Seriler:
Series on Knots and Everything 5
Dosya:
PDF, 18.11 MB
IPFS:
,
english, 1995
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